Mathematics Tes...

If f (x) is of period 3 and g(x) is of period 2, then the period of the function 

If the derivative of the function  is everywhere continuous, then

Let f"(x) be continuous at x = 0 and f"(0) = 4, then 

The set of values of a, such that the equation  has two distinct real roots is given by

If the set of natural numbers is partitioned into subsets S₁ = {1}, S₂ = {2, 3}, S₃ = {4, 5, 6} and so on, then the sum of the terms in S₅₀ is

 then the solution of the equation is

Through the point P(α, β) where αβ > 0, the straight line  is drawn so as to form a triangle of area S with coordinate axes. Then least value of S is

The coefficient of x¹⁰ in the expansion of (1 + x² – x³)⁸ is

If the equation of base of an equilateral triangle is 2x – y = 1 and the vertex is (–1, 2), then the length of the side of the triangle is